Question 927387: If a passenger train travels two times as fast as a freight train, and freight train takes 3 hours longer to travel 210 miles, what is the speed of each train?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! x = speed of passenger train
y = speed of freight train
x = 2y
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s = d/t
t = d/s
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passenger train:
t = 210/x
t = 210/2y
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freight train:
t + 3 = 210/y
t = 210/y - 3
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210/2y = 210/y - 3
105/y = 210/y - 3
210/y - 105/y = 3
105/y = 3
y = 105/3
y = 35
x = 70
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answer:
x = speed of passenger train = 70 mph
y = speed of freight train = 35 mph
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